Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

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Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

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Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: C. (Differential Equations with Homogenous Coefficients) Find the general (or particular) solution…

A: The given differential equations are;  1)(6x2-7y2)dx-14xydy=0 2)(x+ey/x)dx-xey/xdy=0 , y(1)=0.

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Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

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Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to i + j O a cannot be determined O a is…

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Q: Refer to functions m and q. Evaluate (qm) (x) and write the domain in interval notation. Write your…

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Q: 2. If F and G are differentiable functions such that F'(x) = G'(x), which of the following is true…

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Q: pute for the derivative of the function below for x = 0 X O 2-34- Answer:

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Q: Evaluate the following integrals: a) b) cos(x) sin²(x) + sin(x) S = √tln(t) dt. dx;

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Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

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Q: Question 3 Given the points A(-8, 2, 3) and B(-8, 2,-4). a). Write parametric and symmetric…

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Q: Write the parametric equations for the given vector equation: [2 [x, y, z] = [11,2,0] + t[3,0,0]

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Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

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A: The second fundamental theorem of calculus states that if f is continousmapping in [a,b] and F be…

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Q: Given the following initial value problem: dy/dt- yt²-1.1y where y(0) 1 The solution at t 0.75; Le…

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Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

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Q: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

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Q: Question 2 [ Given the equation -5x² + 30x - 5y² - 10y - 5z² - 90z = 21 a) Show that the given…

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Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

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Q: \(\) The point (5, -1, -7) is not the center of the sphere represented by the equation x² + 10x + y²…

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Q: Siven : dy ax + 3xy ty² x² + xy 3xy ty X2 txy 2 у dy бус х xt = 0

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Q: Solve the initial value problem O y = telºr O y = 4e¹0r O y = 4te¹0r Oy=elor + előr O y = előr ,10t…

A: Here we have to solve the differential equation.

Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

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Q: (i) Determine if the following functions are even, odd, or neither. Show your algebraic…

A: A function f(x) said to be  odd function if f(-x)=-f(x). even function if f(-x)=f(x). any odd…